Question

Which graph represents the solution set for the inequality 16 ≥ -3x + 4 > -17?

Answer 1

First add the 4 to both sides.

Answer 2

ok

Answer 3

Then what do you have?

Answer 4

16 -4≥ -3x > -17-4

Answer 5

12≥ -3x > -21
\[-4 \le x < 7 \]

Answer 6

so which graph is it ?

Answer 7

Well, do you see what happens there? Remember you have to do the operations on both inequalities. Also remember when you multiply or divide by negative numbers, the inequality will flip.

Answer 8

ok

Answer 9

You can eliminate two of them. You know the closed circle means "includes".

Answer 10

it's either the first one or the second one, which one.

Answer 11

No, because remember it INCLUDES the -4. Its a less than OR EQUAL to. So it would be a filled circle.

Answer 12

oh

Answer 13

so it's the third one ?

Answer 14

No, because that means that x must be less than or equal to -4. That is not what the inequality reads. If you read it from x, it reads "x is greater than or equal to -4 and less than 7"

Answer 15

oh ok

Answer 16

The 4th graph is therefore the correct graph.

Answer 17

so the last one

Answer 18

Correct.

Answer 19

thanks

Answer 20

Lol he was just guessing. So funny
First one ? No
second one? No
Third one? NO

oh so the last one

Answer 21

Try not to simply complete the entire question in one post. Rather, guide them through the steps. Otherwise they may not understand what is really going on.

Answer 22

Well I think their are two sides to the problem. Solving for x and then finding the graph. I did the first part and he couldn't even though the second part. Solving for both parts are completely different.

Answer 23

No, you're not understanding what I'm saying.

I'm saying that rather than immediately arrive at the final inequality, you should guide them through the process or drop hints. Don't simply solve the inequality. This is not helpful.